{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 第二章　Monte Carlo 法概述和随机数的生成\n",
    "\n",
    "作者：[王何宇](http://person.zju.edu.cn/wangheyu)\n",
    "\n",
    "[浙江大学数学科学学院](http://www.math.zju.edu.cn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import print_function, division\n",
    "\n",
    "# 这句话是非标准的python，用于ipthon或jupyter这样的系统中，表示绘图即刻自动展开。\n",
    "%matplotlib inline\n",
    "\n",
    "# 这里把全部Warning过滤掉了. \n",
    "# 参见https://docs.python.org/2/library/warnings.html\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "# 3D 图形绘制\n",
    "from mpl_toolkits.mplot3d import Axes3D \n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Monte Carlo 法的本意是利用随机采样去探测问题，然后利用统计去得到问题的解。其理论依据是大数定律和中心极限定理。而其技术基础则是随机数的产生和计算机模拟。随着理论和技术的完整，这一技术越来越得到广泛的应用。从某种意义上说，目前所有和随机优化有关的算法，多少都带有 Monte Carlo 法的基础。之前我们通过公交车乘客问题，已经感受到一个机械的计算机模拟可以代替一些概率论推演，这其实已经有 Monte Carlo 的思想在内。我们下面继续从一个简单的问题直观上进一步了解一下这个方法。这一次我们最终目的是求我们世界的一个重要常数——$\\Pi$。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 程序例子：求圆面积\n",
    "\n",
    "圆周率是求圆面积的基础，然而我们这里反过来，先直接求面积。为此我们不如先画一个内接在单位正方形的圆，同时对正方形内做了随机投点。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(250)\n",
    "dots = np.random.rand(2, 500)\n",
    "#print(dots[:,1])\n",
    "theta = np.linspace(0, 2 * np.pi, 100)\n",
    "plt.plot(dots[0, :], dots[1, :], '.', 0.5 + 0.5 * np.cos(theta), 0.5 + 0.5 * np.sin(theta))\n",
    "axs = plt.gca()\n",
    "axs.set_aspect('equal', 'box')\n",
    "plt.axis([0, 1, 0, 1])\n",
    "plt.xticks(np.arange(0, 1, 0.1))\n",
    "plt.yticks(np.arange(0, 1, 0.1))\n",
    "plt.grid(True)\n",
    "plt.savefig(\"circle.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**假设**点是随机分布的，那么落在圆内的概率就是圆面积比上单位正方形面积，也就是$1$。于是这里圆面积数值上就是随机投点落在圆内的概率。而这件事情是可以通过持续投点统计出来的。同时，圆在几何上的定义是明确的：“到定点 $(0.5, 0.5)$ 距离为 $1$ 的点的轨迹。”至此，模拟所需的一切参数都已经具备。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def area_circle(times):\n",
    "    inside = 0\n",
    "    dots = np.random.rand(2, times)\n",
    "    for i in range(times):\n",
    "        x = dots[0, i] - 0.5\n",
    "        y = dots[1, i] - 0.5\n",
    "        if x * x + y * y < 0.25:\n",
    "            inside += 1\n",
    "    return inside / times"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结果如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7875"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "area_circle(10000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由于我们在计算圆面积时根本没有使用圆面积公式，所以我们这里可以利用圆面积来求$\\Pi$："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.1448\n"
     ]
    }
   ],
   "source": [
    "pi = area_circle(10000) * 4\n",
    "print(pi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "那么如何评估这个圆周率的精度？显然它是一个在真正的 $\\Pi$ 附近波动的随机值，我们一方面通过多次试验稳定这个值，另一方面多次试验得到的结果，也能给我们一个合理的误差估计。下面连续模拟了100次，每次都是10000个采样。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(100):\n",
    "    pi = area_circle(10000) * 4\n",
    "    plt.plot(i, pi, 'b.')\n",
    "plt.plot([0, 99], [np.pi, np.pi], 'r--', label = \"$\\pi$\")\n",
    "plt.axis([0, 99, np.pi + 0.1, np.pi - 0.1])\n",
    "plt.legend()\n",
    "plt.savefig(\"variation.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "直观上，我们看到这个计算的误差稳定在 $\\pm 0.5$ 左右。这当然不是一个很好的回答，但我们在概率论的知道下，还可以知道的更多。和一切计算一样，一个专业的回答，必须包含两个问题的解：\n",
    "1. 计算的精度；\n",
    "2. 计算的效率，或者说，计算规模关于误差的收敛率。\n",
    "上一个问题是直观上回答了精度，那么我们首先再对第二个问题给一个直观的回答："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = np.logspace(2, 5, 1000)\n",
    "pi = [area_circle(int(i)) * 4 for i in n]\n",
    "plt.plot(n, pi, '.')\n",
    "plt.plot([n[0], n[-1]], [np.pi, np.pi], '--', label = \"$\\pi$\")\n",
    "plt.xscale('log')\n",
    "plt.axis([n[0], n[-1], np.pi + 0.3, np.pi - 0.3])\n",
    "plt.legend()\n",
    "plt.savefig(\"number2variation.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "当然光有直观解释，并不是专业的做法。我们下面需要给出有理论保证的精确结果。这里，首先思考一下，什么叫“精确”。我们研究的对象是随机事件，我们的模型基础是随机模型，连我们的变量本质上都是随机变量，谈何精确？这里关键的一点：随机变量的数字特征是服从概率论的精确值。比如一个服从确定分布的随机变量，它的期望，方差，和各阶矩都是确定的。此外，大数定律和中心极限定理揭示了在大样本统计下，统计结果会服从客观上的分布规律。因此，即便对有限次试验，我们仍然可以在矩估计和概率估计的意义上，给出一个精确的结果。比如，这个圆周率误差在 $\\pm 0.01$ 的概率是多少。之前的估计，实际上在这个问题上，对试验规模 $n = 10000$ ，最多只做了 $100$ 次估计，这远称不上一个“大样本”了。为节省课堂事件，我们来绘制 $n = 1000$，重复 $20000$ 次的分布情况，这勉强算一个“大样本”，我们先直观看一下它的分布："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "pi = [area_circle(1000)*4 for i in range(20000)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAD8CAYAAAB+UHOxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAEdhJREFUeJzt3X+MXWd95/H3BxPoj7CNaYbIdcxORF0VU20d5JpISBVtWOIkWpxWIDnSgoWycrub7IK2f9TQSim0WaXbLWiRaLppY+FUtCZbQFjEbdZ1gxDSksShIcExbKYhS6a2YrcJAYQ2qtPv/nEf1zfO/Lgznrkz9vN+SVf3nO95zr3PeTyez5xf96aqkCT15xUr3QFJ0sowACSpUwaAJHXKAJCkThkAktQpA0CSOmUASFKnDABJ6pQBIEmdeuVKd2Aul156aU1OTq50NyTpvPLwww//fVVNzNduVQfA5OQkhw8fXuluSNJ5Jcn/HaWdh4AkqVMGgCR1ygCQpE7NGwBJfijJg0m+luRIkg+3+hVJHkjyRJJPJ3lVq7+6zU+15ZNDr/XBVv9mkmuWa6MkSfMbZQ/gBeAXq+pngc3AtiRXAb8LfKyqNgLPATe19jcBz1XVTwIfa+1IsgnYAbwJ2Ab8QZI1S7kxkqTRzRsANfD9NntRexTwi8Cft/pe4IY2vb3N05ZfnSStvq+qXqiqbwFTwNYl2QpJ0oKNdA4gyZokjwAngIPA3wLfqapTrck0sL5NrweeBmjLnwd+fLg+wzqSpDEbKQCq6sWq2gxczuCv9jfO1Kw9Z5Zls9VfIsmuJIeTHD558uQo3ZMkLcKCrgKqqu8AXwSuAi5JcvpGssuBY216GtgA0Jb/GPDscH2GdYbf486q2lJVWyYm5r2RTZK0SPPeCZxkAvjHqvpOkh8G3s7gxO79wLuAfcBO4PNtlf1t/n+35X9dVZVkP/CnST4K/ASwEXhwibdHWnGTu+9dUPunbr9+mXoizW2Uj4JYB+xtV+y8Arinqr6Q5HFgX5LfAf4GuKu1vwv4kyRTDP7y3wFQVUeS3AM8DpwCbq6qF5d2cyRJo5o3AKrqUeDKGepPMsNVPFX1/4B3z/JatwG3LbybkqSl5p3AktQpA0CSOmUASFKnDABJ6pQBIEmdMgAkqVMGgCR1ygCQpE6t6i+Fl5aDH9UgDbgHIEmdMgAkqVMGgCR1ygCQpE4ZAJLUKQNAkjplAEhSpwwASeqUASBJnTIAJKlTBoAkdcoAkKROGQCS1CkDQJI6ZQBIUqcMAEnqlAEgSZ2aNwCSbEhyf5KjSY4keX+r/1aSv0vySHtcN7TOB5NMJflmkmuG6ttabSrJ7uXZJEnSKEb5SshTwK9V1VeTvAZ4OMnBtuxjVfXfhhsn2QTsAN4E/ATwV0l+qi3+BPCvgWngoST7q+rxpdgQSdLCzBsAVXUcON6mv5fkKLB+jlW2A/uq6gXgW0mmgK1t2VRVPQmQZF9rawBI0gpY0DmAJJPAlcADrXRLkkeT7EmyttXWA08PrTbdarPVJUkrYOQASHIx8BngA1X1XeAO4A3AZgZ7CL9/uukMq9cc9bPfZ1eSw0kOnzx5ctTuSZIWaKQASHIRg1/+n6qqzwJU1TNV9WJV/RPwR5w5zDMNbBha/XLg2Bz1l6iqO6tqS1VtmZiYWOj2SJJGNMpVQAHuAo5W1UeH6uuGmv0S8PU2vR/YkeTVSa4ANgIPAg8BG5NckeRVDE4U71+azZAkLdQoVwG9FXgP8FiSR1rtQ8CNSTYzOIzzFPArAFV1JMk9DE7ungJurqoXAZLcAtwHrAH2VNWRJdwWSdICjHIV0JeZ+fj9gTnWuQ24bYb6gbnWkySNj3cCS1KnDABJ6pQBIEmdMgAkqVMGgCR1apTLQKWuTe6+d6W7IC0L9wAkqVMGgCR1ygCQpE4ZAJLUKQNAkjplAEhSpwwASeqUASBJnTIAJKlTBoAkdcoAkKROGQCS1CkDQJI6ZQBIUqcMAEnqlAEgSZ0yACSpUwaAJHXKAJCkThkAktSpeQMgyYYk9yc5muRIkve3+muTHEzyRHte2+pJ8vEkU0keTfLmodfa2do/kWTn8m2WJGk+o+wBnAJ+rareCFwF3JxkE7AbOFRVG4FDbR7gWmBje+wC7oBBYAC3Am8BtgK3ng4NSdL4zRsAVXW8qr7apr8HHAXWA9uBva3ZXuCGNr0duLsGvgJckmQdcA1wsKqerarngIPAtiXdGknSyBZ0DiDJJHAl8ABwWVUdh0FIAK9rzdYDTw+tNt1qs9UlSStg5ABIcjHwGeADVfXduZrOUKs56me/z64kh5McPnny5KjdkyQt0EgBkOQiBr/8P1VVn23lZ9qhHdrziVafBjYMrX45cGyO+ktU1Z1VtaWqtkxMTCxkWyRJC/DK+RokCXAXcLSqPjq0aD+wE7i9PX9+qH5Lkn0MTvg+X1XHk9wH/JehE7/vAD64NJuhXk3uvneluyCdt+YNAOCtwHuAx5I80mofYvCL/54kNwHfBt7dlh0ArgOmgB8A7wOoqmeT/DbwUGv3kap6dkm2QpK0YPMGQFV9mZmP3wNcPUP7Am6e5bX2AHsW0kFJ0vIYZQ9A0jJa6GGsp26/fpl6ot74URCS1CkDQJI6ZQBIUqcMAEnqlAEgSZ0yACSpUwaAJHXKAJCkThkAktQp7wSWzjPeOayl4h6AJHXKPQCtKn68szQ+7gFIUqcMAEnqlAEgSZ0yACSpUwaAJHXKAJCkThkAktQpA0CSOmUASFKnDABJ6pQBIEmdMgAkqVMGgCR1at4ASLInyYkkXx+q/VaSv0vySHtcN7Tsg0mmknwzyTVD9W2tNpVk99JviiRpIUbZA/gksG2G+seqanN7HABIsgnYAbyprfMHSdYkWQN8ArgW2ATc2NpKklbIvN8HUFVfSjI54uttB/ZV1QvAt5JMAVvbsqmqehIgyb7W9vEF91iStCTO5RzALUkebYeI1rbaeuDpoTbTrTZb/WWS7EpyOMnhkydPnkP3JElzWWwA3AG8AdgMHAd+v9UzQ9uao/7yYtWdVbWlqrZMTEwssnuSpPks6ishq+qZ09NJ/gj4QpudBjYMNb0cONamZ6tLklbAovYAkqwbmv0l4PQVQvuBHUleneQKYCPwIPAQsDHJFUlexeBE8f7Fd1uSdK7m3QNI8mfA24BLk0wDtwJvS7KZwWGcp4BfAaiqI0nuYXBy9xRwc1W92F7nFuA+YA2wp6qOLPnWSJJGNspVQDfOUL5rjva3AbfNUD8AHFhQ7yRJy8Y7gSWpUwaAJHXKAJCkThkAktQpA0CSOmUASFKnDABJ6pQBIEmdMgAkqVMGgCR1ygCQpE4ZAJLUKQNAkjplAEhSpwwASeqUASBJnTIAJKlTBoAkdcoAkKROGQCS1CkDQJI6ZQBIUqcMAEnqlAEgSZ0yACSpUwaAJHVq3gBIsifJiSRfH6q9NsnBJE+057WtniQfTzKV5NEkbx5aZ2dr/0SSncuzOZKkUY2yB/BJYNtZtd3AoaraCBxq8wDXAhvbYxdwBwwCA7gVeAuwFbj1dGhIklbGvAFQVV8Cnj2rvB3Y26b3AjcM1e+uga8AlyRZB1wDHKyqZ6vqOeAgLw8VSdIYLfYcwGVVdRygPb+u1dcDTw+1m2612eovk2RXksNJDp88eXKR3ZMkzWepTwJnhlrNUX95serOqtpSVVsmJiaWtHOSpDNeucj1nkmyrqqOt0M8J1p9Gtgw1O5y4Firv+2s+hcX+d46j0zuvnelu9C9xfwbPHX79cvQE602i90D2A+cvpJnJ/D5ofp729VAVwHPt0NE9wHvSLK2nfx9R6tJklbIvHsASf6MwV/vlyaZZnA1z+3APUluAr4NvLs1PwBcB0wBPwDeB1BVzyb5beCh1u4jVXX2iWVJ0hjNGwBVdeMsi66eoW0BN8/yOnuAPQvqnSRp2XgnsCR1ygCQpE4ZAJLUKQNAkjplAEhSpwwASeqUASBJnTIAJKlTBoAkdcoAkKROGQCS1CkDQJI6ZQBIUqcMAEnqlAEgSZ0yACSpU4v9TmBJF7CFfo+w3yF8fjIAtCB+ybt04fAQkCR1ygCQpE4ZAJLUKQNAkjplAEhSpwwASeqUASBJnTqnAEjyVJLHkjyS5HCrvTbJwSRPtOe1rZ4kH08yleTRJG9eig2QJC3OUuwB/EJVba6qLW1+N3CoqjYCh9o8wLXAxvbYBdyxBO8tSVqk5TgEtB3Y26b3AjcM1e+uga8AlyRZtwzvL0kawbkGQAH/K8nDSXa12mVVdRygPb+u1dcDTw+tO91qkqQVcK6fBfTWqjqW5HXAwSTfmKNtZqjVyxoNgmQXwOtf//pz7J4kaTbntAdQVcfa8wngc8BW4JnTh3ba84nWfBrYMLT65cCxGV7zzqraUlVbJiYmzqV7kqQ5LDoAkvxoktecngbeAXwd2A/sbM12Ap9v0/uB97arga4Cnj99qEiSNH7ncgjoMuBzSU6/zp9W1V8meQi4J8lNwLeBd7f2B4DrgCngB8D7zuG9JUnnaNEBUFVPAj87Q/0fgKtnqBdw82LfT5K0tLwTWJI6ZQBIUqcMAEnqlAEgSZ0yACSpUwaAJHXKAJCkThkAktSpc/0wOJ3nJnffu9JdkLRCDABJ52yhf0g8dfv1y9QTLYSHgCSpUwaAJHXKAJCkThkAktQpA0CSOmUASFKnDABJ6pQBIEmd8kawC4x39koalQEgaey8c3h18BCQJHXKAJCkThkAktQpA0CSOmUASFKnvApoFfOSTknLaewBkGQb8N+BNcAfV9Xt4+6DpPOLl40uj7EeAkqyBvgEcC2wCbgxyaZx9kGSNDDuPYCtwFRVPQmQZB+wHXh8zP1YER7SkcZjMf/XetxrGHcArAeeHpqfBt4y5j7Myt1MqV89/v8fdwBkhlq9pEGyC9jVZr+f5Jtntb8U+Ptl6NuC5XdXugerZyxWCcfjDMfijGUZi1Xw/38u/3KURuMOgGlgw9D85cCx4QZVdSdw52wvkORwVW1Znu6dXxyLl3I8znAsznAsZjfu+wAeAjYmuSLJq4AdwP4x90GSxJj3AKrqVJJbgPsYXAa6p6qOjLMPkqSBsd8HUFUHgAPn8BKzHh7qkGPxUo7HGY7FGY7FLFJV87eSJF1w/CwgSerUqgyAJBuS3J/kaJIjSd4/Q5u1ST6X5NEkDyb5mZXo63JL8kNt+77WxuLDM7R5dZJPJ5lK8kCSyfH3dPmNOBY/n+SrSU4leddK9HNcRhyP/5zk8fb/5FCSkS4PPN+MOBa/muSxJI8k+bKfQgBU1ap7AOuAN7fp1wD/B9h0VpvfA25t0z8NHFrpfi/TWAS4uE1fBDwAXHVWm/8A/GGb3gF8eqX7vYJjMQn8K+Bu4F0r3edVMB6/APxIm/73nf9s/Iuh6XcCf7nS/V7px6rcA6iq41X11Tb9PeAog7uIh20CDrU23wAmk1w21o6OQQ18v81e1B5nn7jZDuxt038OXJ1kppvuzmujjEVVPVVVjwL/NO7+jduI43F/Vf2gzX6Fwb03F5wRx+K7Q7M/evbyHq3KABjWDmdcySDRh30N+OXWZiuDO98uyB/uJGuSPAKcAA5W1dlj8c8fsVFVp4DngR8fby/HY4Sx6MoCx+Mm4C/G07PxG2Usktyc5G+B/wr8p3H3cbVZ1QGQ5GLgM8AHzkpvgNuBte0f/D8CfwOcGnMXx6KqXqyqzQwCbusM5zvm/YiNC8UIY9GVUccjyb8FtjA4dHpBGmUsquoTVfUG4NeB3xx3H1ebVRsASS5i8Mv/U1X12bOXV9V3q+p97R/8vcAE8K0xd3Osquo7wBeBbWct+ueP2EjySuDHgGfH2rkxm2MsujTXeCR5O/AbwDur6oUxd23sRvzZ2AfcMJYOrWKrMgDa8eu7gKNV9dFZ2lzSPk4C4N8BX5phL+G8l2QiySVt+oeBtwPfOKvZfmBnm34X8NfVznRdSEYci26MMh5JrgT+B4Nf/ifG38vxGHEsNg7NXg88Mb4erk6r9Ssh3wq8B3isHeIB+BDweoCq+kPgjcDdSV5k8H0CN61ER8dgHbC3fZnOK4B7quoLST4CHK6q/QzC8k+STDH4y3/HynV3Wc07Fkl+DvgcsBb4N0k+XFVvWsE+L6dRfjZ+D7gY+J/tuoBvV9U7V6zHy2eUsbil7Q39I/AcZ/5o6pZ3AktSp1blISBJ0vIzACSpUwaAJHXKAJCkThkAktQpA0CSOmUASFKnDABJ6tT/B5vGDtcj567nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mid_pi = sum(pi)/len(pi)\n",
    "min_pi = min(pi)\n",
    "max_pi = max(pi)\n",
    "radius = max(max_pi - mid_pi, mid_pi - min_pi) \n",
    "plt.hist(pi, bins=25, range=(mid_pi - radius, mid_pi + radius))\n",
    "axs = plt.gca()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们这里分别计算出它的均值和标准差：\n",
    "$$\n",
    "\\bar{\\pi}_N = \\frac{\\sum_{i = 1}^n\\pi_i}{N}, \n",
    "\\quad\n",
    "V[\\pi_N] = \\sqrt{\\frac{\\sum_{i = 1}^N (\\pi_i - \\bar{\\pi_N})^2}{N - 1}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.141827800000108 0.05218506406248329\n"
     ]
    }
   ],
   "source": [
    "N = len(pi)\n",
    "ave_pi = sum(pi) / N\n",
    "V_pi = np.sqrt(sum((pi - np.ones(N)*ave_pi)**2) / (N - 1))\n",
    "print(ave_pi, V_pi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如何正确理解这两个值？我们能不能说，真解就在\n",
    "$$\n",
    "\\bar{\\pi} \\pm V[\\pi_n] \\approx 3.1418 \\pm 0.052\n",
    "$$\n",
    "之间？\n",
    "\n",
    "显然这么说是错误的！因为一切都是随机变量，真解实际服从 $N(4, 0.05)$，但是实际统计结果却是 $\\pi = 3.14$ 的**概率**并不为零。当然，如果统计是正常的，发生这件事情的概率将非常小。因此在不太精确的场合，我们这么评估我们的结果，是非常安全的。更严格地，由中心极限定理，我们知道，当试验组数 $N$ 足够多之后，我们的统计结果，应该呈现出 $n = 1000$ 的模拟结果服从正态分布\n",
    "$$\n",
    "N(\\pi, V[pi]^2), \\pi_N \\to \\pi, V[\\pi_N] \\to V[\\pi],\n",
    "$$\n",
    "我们这里给 $V[\\pi]$ 一个过宽估计，比如, $V[\\pi] <= 0.052$，那么我们可以认为，$\\bar{\\pi}_N$ 落在真解 $\\pi \\pm V[\\pi] * 3$ 的概率是远大于 $99.9%$ 的。换言之，此时我们可以严格地说\n",
    "$$\n",
    "\\pi \\in (\\bar{\\pi}_N - V[\\pi] * 3, \\bar{\\pi}_N + V[\\pi] * 3),\n",
    "$$\n",
    "的概率远大于 $99.9%$，或者 $\\pi = 3.141 \\pm 0.152$ 的可能性远超过 $99.9%$。这个听上去不是一个很好的答案，但考虑到我们实际上只是对 $n = 1000$ 的模拟在做估计，所以还是一个可以接受的结果。在实际工作中，我们不必这样固定 $n$，反复重复去测试均值和标准差，而是直接多次试验后直接计算均值。而标准差尽管是随 $n$ 改变的，我们可以知道它实际上收敛的极慢。标准差是一个关于 $\\sqrt{n}$ 的算式，也就是说，如果模型和统计是正确的，那么一方面它确实收敛至零；当另一方面，它的收敛速度是 $\\Theta(\\sqrt{n})$ 的。或者说，如果我们想要在十进制下改进一位有效位数，那么我们需要将问题规模提升至原输入的 $100$ 倍！这也是为什么在实际工作中，Monte Carlo 方法很难得到高精度的关键原因。\n",
    "\n",
    "我们在后续过程会学习一些技术，在特定的问题中，设法缓解 Monte Carlo 法的这个问题。但这是一个基本事实，很难有本质改进。不过我们今天先讨论一个基础的技术问题，不解决这个技术问题，所有的随机算法，都是扯淡。\n",
    "\n",
    "## 随机数的生成\n",
    "\n",
    "### 程序例子：经典 Fibonacci 产生器\n",
    "我们来验证经典 Fibonacci 产生器的缺陷。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rand_add_mod(X0, X1, M, N):\n",
    "    X = np.zeros(N)\n",
    "    X[0] = X0\n",
    "    X[1] = X1\n",
    "    for i in range(2, N):\n",
    "        X[i] = (X[i - 2] + X[i - 1]) % M\n",
    "    return X / (M - 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "产生随机数的参数比较不好搞，下面产生的是 $5000$ 个 $U(0, 1)$ 的伪随机数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = rand_add_mod(197, 39, 65535, 5000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们直接用点图看一下它的均匀性，似乎不错？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,'.')\n",
    "plt.xlabel(\"i\")\n",
    "plt.ylabel(\"$U_i$\")\n",
    "plt.savefig(\"add_mod_random_test.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "而接下去这段诡异的过程可以称为“找规律”。给出一个特殊的抽样，使得样本出现强烈的规律性。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.zeros(4998)\n",
    "y = np.zeros(4998)\n",
    "for i in range(1,4998):\n",
    "    x[i] = np.sqrt(X[i]) * np.cos(2 * np.pi * X[i + 1]) * np.sin(np.pi * X[i + 2])\n",
    "    y[i] = np.sqrt(X[i]) * np.sin(2 * np.pi * X[i + 1]) * np.sin(np.pi * X[i + 2])\n",
    "plt.plot(x,y,'.')\n",
    "plt.xlabel(\"$X_i$\")\n",
    "plt.ylabel(\"$Y_i$\")\n",
    "plt.savefig(\"add_mod_random_fail.pdf\")    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "再补一刀，加同余的三维分布："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "ax.view_init(azim=70)  # 绕 z 轴旋转角度\n",
    "ax.scatter(X[0:-2:3], X[1:-1:3], X[2:-1:3])\n",
    "ax.set_xlabel(\"$U_{i}$\")\n",
    "ax.set_ylabel(\"$U_{i + 1}$\")\n",
    "ax.set_zlabel(\"$U_{i + 2}$\")\n",
    "plt.savefig(\"RANDU_fail.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 程序例子：线性同余产生器\n",
    "\n",
    "线性同余产生器是目前仍在广泛使用的一个方法。但一般需要和其他方法组合使用。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rand_mul_mod(X0, M, A, C, N):\n",
    "    X = np.zeros(N)\n",
    "    X[0] = X0\n",
    "    for i in range(1, N):\n",
    "        X[i] = (A * X[i - 1] + C) % M\n",
    "    return X / (M - 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "先看两个不恰当选择参数所产生的问题。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = rand_mul_mod(13, 2147483647, 7, 0, 5000) #BAD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "同样，仅从一维序列角度并看不出有什么问题。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'$U_i$')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X,'.')\n",
    "plt.xlabel(\"i\")\n",
    "plt.ylabel(\"$U_i$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "然而，其2维分布就相当令人感伤了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'$U_{i + 1}$')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X[0:-2:10],X[1:-1:10],'.')\n",
    "plt.xlabel(\"$U_{i}$\")\n",
    "plt.ylabel(\"$U_{i + 1}$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "同样的，它也没有逃过螺旋线的控制（尽管已经不是Fibonacci了）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.zeros(4999)\n",
    "y = np.zeros(4999)\n",
    "for i in range(1,4999):\n",
    "    x[i] = np.sqrt(-2 * np.log(X[i])) * np.cos(2 * np.pi * X[i + 1])\n",
    "    y[i] = np.sqrt(-2 * np.log(X[i])) * np.sin(2 * np.pi * X[i + 1])\n",
    "plt.plot(x,y,'.')\n",
    "plt.xlabel(\"$X_i$\")\n",
    "plt.ylabel(\"$Y_i$\")\n",
    "plt.savefig(\"mul_mod_random_fail.pdf\")    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "再来一个。一维总是很OK的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'$U_i$')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = rand_mul_mod(13, 2147483647, 2147483630, 0, 5000) #BAD\n",
    "plt.plot(X,'.')\n",
    "plt.xlabel(\"i\")\n",
    "plt.ylabel(\"$U_i$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "但二维和正态分布都挂了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'$U_{i + 1}$')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X[0:-2:2],X[1:-1:2],'.')\n",
    "plt.xlabel(\"$U_{i}$\")\n",
    "plt.ylabel(\"$U_{i + 1}$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.zeros(4999)\n",
    "y = np.zeros(4999)\n",
    "for i in range(1,4999):\n",
    "    x[i] = np.sqrt(-2 * np.log(X[i])) * np.cos(2 * np.pi * X[i + 1])\n",
    "    y[i] = np.sqrt(-2 * np.log(X[i])) * np.sin(2 * np.pi * X[i + 1])\n",
    "plt.plot(x,y,'.')\n",
    "plt.xlabel(\"$X_i$\")\n",
    "plt.ylabel(\"$Y_i$\")\n",
    "plt.savefig(\"mul_mod_random_fail.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "按么根据数论原理精挑细选会不会好点呢？这里有一组在IBM 360系统上用了很多年的经典参数："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'$U_i$')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = rand_mul_mod(1, 2147483648, 65539, 0, 5000) #IBM 360\n",
    "plt.plot(X,'.')\n",
    "plt.xlabel(\"i\")\n",
    "plt.ylabel(\"$U_i$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "二维检验，通过！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'$U_{i + 1}$')"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X[0:-2:2],X[1:-1:2],'.')\n",
    "plt.xlabel(\"$U_{i}$\")\n",
    "plt.ylabel(\"$U_{i + 1}$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "正态分布检验，也通过！IBM还是有的门道滴...以至于很长一段时间，大家都认为这组参数下的伪随机数是完美的..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.zeros(4999)\n",
    "y = np.zeros(4999)\n",
    "for i in range(1,4999):\n",
    "    x[i] = np.sqrt(-2 * np.log(X[i])) * np.cos(2 * np.pi * X[i + 1])\n",
    "    y[i] = np.sqrt(-2 * np.log(X[i])) * np.sin(2 * np.pi * X[i + 1])\n",
    "plt.plot(x,y,'.')\n",
    "plt.xlabel(\"$X_i$\")\n",
    "plt.ylabel(\"$Y_i$\")\n",
    "plt.savefig(\"mul_mod_random_fail.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "然而...看看三维？(多转几下)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "ax.view_init(azim=30)   # 59\n",
    "ax.scatter(X[0:-2:3], X[1:-1:3], X[2:-1:3])\n",
    "ax.set_xlabel(\"$U_{i}$\")\n",
    "ax.set_ylabel(\"$U_{i + 1}$\")\n",
    "ax.set_zlabel(\"$U_{i + 2}$\")\n",
    "plt.savefig(\"RANDU_fail.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这个办法在单独的线性同余生成器中是必须面对的，所以在生成高维数据时，必须小心。否则你可能就是在这些平面采样，而不是在全空间采样。\n",
    "\n",
    "### 程序例子：梅森旋转MT19937实现\n",
    "\n",
    "下面的例子在cnblog上网友xlxw的blog《Python下探究随机数的产生原理和算法》，网址：\n",
    "\n",
    "[https://www.cnblogs.com/lzxwalex/p/6880748.html](https://www.cnblogs.com/lzxwalex/p/6880748.html)\n",
    "\n",
    "提供的代码基础上修改而成，并参考了CSDN网友tick\\_tokc97的blog《伪随机数生成——梅森旋转（Mersenne Twister/MT）算法笔记》，网址：\n",
    "\n",
    "[https://blog.csdn.net/tick_tock97/article/details/78657851](https://blog.csdn.net/tick_tock97/article/details/78657851)\n",
    "\n",
    "MT19937是基于32位整数的算法，首先定义一个规范32位字长的函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def inter(t):\n",
    "    return(0xFFFFFFFF & t) #取最后32位->t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "梅森旋转需要一个工作区，MT19937的工作区长度是624，初始化过程如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mainset(seed, M):\n",
    "    M[0] = seed    #seed\n",
    "    for i in range(1,624):\n",
    "        M[i] = inter(1812433253 * (M[i - 1] ^ M[i - 1] >> 30) + i)\n",
    "    return M"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下去是关键的一步：对工作区进行梅森旋转。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def twister(M):\n",
    "    for i in range(624):\n",
    "        # 截取M[i]高位和M[i+1](越界就返回M[0])低位，用普通加法合并，对齐32位\n",
    "        # 这里高位取了1位，低位取了31位。\n",
    "        y = inter((M[i] & 0x80000000) +(M[(i + 1) % 624] & 0x7fffffff))\n",
    "        yA = y >> 1\n",
    "        if y & 1 == 1: #取最低位\n",
    "            yA = yA ^ 0x9908b0df\n",
    "        M[i] = M[(i + 397) % 624] ^ yA\n",
    "    return M"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "实际的随机数生成依赖工作区进行递推，因此每产生624个随机数，需要新旋转工作区。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def exnum(M, index):\n",
    "    y = M[index]\n",
    "    y = y ^ y >> 11\n",
    "    y = y ^ y << 7 & 2636928640\n",
    "    y = y ^ y << 15 & 4022730752\n",
    "    y = y ^ y >> 18\n",
    "    index = index + 1\n",
    "    return inter(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "主流程如下"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def MT19937(seed,num):\n",
    "    U = [0]*num\n",
    "    M = [0]*624\n",
    "    M = mainset(seed, M)\n",
    "    twister(M)\n",
    "    for i in range(num):\n",
    "        index = i % 624\n",
    "        U[i] = exnum(M, index) / (2**32 - 1)\n",
    "        if (index == 623):\n",
    "            twister(M)\n",
    "    return U     "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "测试一下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=MT19937(13, 5000)\n",
    "plt.plot(X,'.')\n",
    "plt.xlabel(\"i\")\n",
    "plt.ylabel(\"$X_i$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "以及二维正态分布："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.zeros(4999)\n",
    "y = np.zeros(4999)\n",
    "for i in range(1,4999):\n",
    "    x[i] = np.sqrt(-2 * np.log(X[i])) * np.cos(2 * np.pi * X[i + 1])\n",
    "    y[i] = np.sqrt(-2 * np.log(X[i])) * np.sin(2 * np.pi * X[i + 1])\n",
    "plt.plot(x,y,'.')\n",
    "plt.xlabel(\"$X_i$\")\n",
    "plt.ylabel(\"$Y_i$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面生成了500个1000维随机向量（一共50万个随机数，MT19937还是很快）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=np.zeros(500000)\n",
    "X=MT19937(13, 500000)\n",
    "X=(np.reshape(X,(500,1000))).T # 最后转置一下"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "看一下$(X_1, X_2)$和$(X_{999}, X_{1000})$两个平面的的分布情况。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.plot(X[0,:],X[1,:],'.')\n",
    "plt.xlabel(\"$X_1$\")\n",
    "plt.ylabel(\"$X_2$\")\n",
    "plt.savefig(\"MT19937_X1X2.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.plot(X[998,:],X[999,:],'.')\n",
    "plt.xlabel(\"$X_{999}$\")\n",
    "plt.ylabel(\"$X_{1000}$\")\n",
    "plt.savefig(\"MT19937_X999X1000.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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